SOLENOIDAL LIPSCHITZ TRUNCATION FOR PARABOLIC PDEs
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Publication:2868747
DOI10.1142/S0218202513500437zbMath1309.76024arXiv1209.6522MaRDI QIDQ2868747
Lars Diening, Dominic Breit, Sebastian Schwarzacher
Publication date: 19 December 2013
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.6522
Navier-Stokes equationsexistence of weak solutionsunsteady flowsgeneralized Newtonian fluidssolenoidal Lipschitz truncationdivergence free truncation
Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear elliptic equations (35J60) Navier-Stokes equations (35Q30) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
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Cites Work
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- Solenoidal Lipschitz truncation and applications in fluid mechanics
- Electrorheological fluids: modeling and mathematical theory
- Very weak solutions of parabolic systems of \(p\)-Laplacian type
- Interpolation operators in Orlicz--Sobolev spaces
- Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
- A decomposition technique for John domains
- On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
- On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
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